Business
Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: Machine Component Shaper Grinder 1 5 5 2 6 4 3 4 3 The shaper is available for 115 hours, and the grinder is available for 95 hours. No more than 210 units of component 3 can be sold, but up to 1050 units of each of the other components can be sold. In fact, the company already has orders for 525 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $7, $6, and $10, respectively. Required:a. Formulate and solve for the recommended production quantities. b. What are the objective coefficient ranges for the three components? Interpret these ranges for company management. c. What are the right-hand-side ranges? Interpret these ranges for company management. d. If more time could be made available on the grinder, how much would it be worth?e. If more units of component 3 can be sold by reducing the sales price by $4, should the company reduce the price?